MATH201_worksheet4_data1 MATH201_Worksheet4 Math_sheetSample

Watershed TOTALP

UPPER DELAWARE 0.3886

EAST BRANCH DELAWARE 0.3176

LACKAWAXEN 0.3651

MIDDLE DELAWARE-MONGAUP-BRODHEAD 0.3175

MIDDLE DELAWARE-MUSCONETCONG 0.6457

LEHIGH 0.5521

CROSSWICKS-NESHAMINY 0.8097

LOWER DELAWARE 0.7781

SCHUYLKILL 0.7025

BRANDYWINE-CHRISTINA 0.8449

COHANSEY-MAURICE 0.6191

BROADKILL-SMYRNA 1.0916

UPPER SUSQUEHANNA 0.4813

CHENANGO 0.5143

OWEGO-WAPPASENING 0.4794

TIOGA 0.5262

CHEMUNG 0.5495

UPPER SUSQUEHANNA-TUNKHANNOCK 0.5312

UPPER SUSQUEHANNA-LACKAWANNA 0.5349

UPPER WEST BRANCH SUSQUEHANNA 0.3469

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MATH 201 Statistics for Environmental Professionals ● Worksheet 4

Name

Section 1. Suppose that you suspect nutrient overload in a stream water, especially phosphorous. It is

generally considered that the upper limit of phosphorous amount in natural water is 0.05 mg/L. You want

to test whether the stream has larger amount of phosphorus that this upper limit. You randomly take a

water sample of size 16 from the stream. The mean phosphorous amount in the sample is 0.053 mg/L and

the standard deviation is 0.008 mg/L. Perform the hypothesis test using the significance level of 0.05 by

completing the following steps. Refer to the examples in the textbook 9.5.

Question 1. Write down the null and alternative hypothesis using words. (10%)

Question 2. Write down the null and alternative hypothesis using symbols. (10%)

Question 3. What is the value of α in this hypothesis test? (5%)

Question 4. Determine an appropriate distribution (standard normal distribution or t-distribution) to use.

State the reason to support your choice. (5%)

Question 5. Sketch the distribution selected above and shade the area where your null hypothesis is

rejected. (10%)

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Question 6. Calculate the value of the test statistic using the formula. Show your work. (10%)

Question 7. Find the p-value using an appropriate table or technology (e.g. calculator). (10%)

Question 8. Compare the p-value and the value of α. Then determine whether you should reject or not to

reject the null hypothesis. (10%)

Question 9. State the conclusion of the hypothesis testing in words. (10%)

Section 2. The accompanied data is a part of a dataset of measured phosphorous amount

(kilograms/hectare/year) by watershed. We want to test whether the mean phosphorous amount is greater

than 0.55 kilograms/hectare/year. Using JMP, calculate and report an appropriate test statistic and p-

value. Refer to JMP Learning Library, Basic Inference – Proportions and Means/ One Sample t-test and

CI (video or one-page guide). Attach the output to this report. (20%)

Test statistic:

P-value:

Source: U.S. Environmental Protection Agency (2016) Total phosphorous in surface water.

https://catalog.data.gov/dataset/total-phosphorus-in-surface-water (accessed 7/14/2020)

https://www.jmp.com/en_us/learning-library/basic-inference-proportions-and-means.html

https://www.jmp.com/en_us/learning-library/basic-inference-proportions-and-means.html

MATH 201

Question 1. Create one research question and select a data set to test your research question. Your

research question should be one of the two types outlined in “Data and Research Questions.” Note that the

data set should align with the research question and contains at least 20 observations. State the research

question and data source. (40

%)

Research question: Has rhino poaching increased over time?

Data source: https://ourworldindata.org/grapher/number-of-rhinos-poached

Question 2. Identify the variable to test your research question. (10 %)

The research question will be tested using correlation and regression analysis

Question 3. Using JMP, calculate descriptive statistics (mean, standard deviation, and five number

summary) of your data set. If your research question is to compare the mean of two groups, calculate the

descriptive statistics for each group’s data set. Refer to JMP Learning Library, Histograms, Descriptive

Stats and Stem and Leaf (video or one-page guide). (15%)

Question 4. Using JMP, create a histogram(s) with your data. If your research question is to compare the

means of two groups, create two histograms (one for each group). Clearly label the x and y-axis. Refer to

JMP Learning Library, Histograms, Descriptive Stats and Stem and Leaf (video or one-page guide). (15

%)

Final Project deliverable 2. Data and research question ● Name:

https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html

https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html

https://www.jmp.com/en_us/learning-library/graphical-displays-and-summaries.html

Question 5. Attach your data set to this report. (10 %)

Year

Number of Rhinos

Poached

1990 14

1992 18

1993 14

1994 27

1995 14

1996 6

1998 12

1999 13

2000 12

2001 9

2002 25

2003 22

2004 10

2005 11

2006 36

2007 13

2008 83

2009 122

2010 333

2011 448

2012 668

2013 1004

2014 1215

2015 1175

2016 1054

2017 1028

Grammar: Read and check grammatical errors before submission. (10 %)

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